Question

If f (x) = |x| + |x - 1|, then which one of the following is correct?

a. f(x) is continuous at x = 0 and x = 1

b. f(x) is continuous at x = 0 but not at x = 1

c. f(x) is continuous at x = 1 but not at x = 0

d. f(x) is neither continuous at x = 0 nor at x = 1

Answer 1

Correct option a. f(x) is continuous at x = 0 and x = 1

Explanation:

Clearly f(x) is continuous at x = 0 and 1.